1. Welcome to Pre-Algebra
Tuesday: Quarter 2 ..Week 2
1. Please have your homework and weekly assignment
sheet from last week on your desk and write your
homework in your agenda book for the week.
2. Discuss Application 1
3. Turn in weekly assignment sheet from last week
4. Investigation 2
•
2.1 Drawing Wumps
3. Tonight’s Assignment
•
Draw all 5: Mug, Zug, Lug, Bug and Thug

2. Investigation 2
Similar Figures

3. Scenario
Zack
and Marta wanted to design a computer
game that involved several animated characters.
Marta asked her uncle Carlos, a programmer for
a video game company, about computer
animation. Carlos explained that the computer
screen can be thought of as a grid made up of
thousands of tiny points called pixels. To animate
figures, you need to enter the coordinates of key
points on the figure. The computer uses these
points to draw the figure in different positions.

4. Marta
told her uncle that sometimes the
figures in their game would need to
change size. Her uncle explained that a
computer can make figures larger and
smaller if you give it a rule for finding the
key points in the new figure from key
points in the original figure.

5. 2.1 Drawing Wumps
 Zack
and Marta’s
computer game involves
a family called the
Wumps. The members
of the Wump family are
various sizes, but they all
have the same shape.
Mug Wump is the game’s
main character. By
enlarging or reducing
Mug, a player can
transform him into
other Wump family
members.

6. 2.1 Drawing Wumps
Zack
and Marta experimented on paper
with enlarging and reducing figures on a
coordinate grid. First, Zack drew Mug
Wump on dot paper. Then, he labeled the
key points from A to Z and from AA to FF
and listed the coordinates for each point.
Marta described the rules that would
transform Mug into different sizes to create
other members of the Wump family.

7. 2.1 Instructions for Drawing Wumps
 To
draw Zug, Lug,
Bug, and Thug, use
the given rule to find
the coordinates of
each point. For
example, the rule for
finding the points for
Zug is (2x, 2y). So
multiply each of
Mug’s coordinates
by 2 to get the
coordinates for Zug.
Mug
(x, y)
(2, 0)
(2, 4)
(0, 4)
Zug
(2x,
2y)
Lug
(3x,
y)
Bug
(3x,
3y)
Thug
(x,
3y)

8. hart…
te c
mple
Co

10. 2.1 Instructions for Drawing Wumps
Use
Lab sheets 2.1A and 2.1B to draw
the Wump family.
Draw Mug Wump first by plotting the
points of Set 1. Connect the points in
each set in order as you plot them. Next
plot and connect the points in Set 2, then
Set 3. For Set 4, make a dot at each
point- don’t connect them.
Label your drawing Mug.

11. How to plot points…

12. Quarter 2:Week 2
Warm-up: Wednesday
• Complete the table…
Mug
(x, y)
(2, 4)
(6, 12)
(10, 14)
Thug
(2x, 3y)
Lug
1
1
( 2 x, 2 y )

13. Welcome to Pre-Algebra!
Wednesday .
1. Please have your homework( 5 drawings: Mug, Zug, Lug,
Bug, and Thug) on your desk and get started on your
warm up.
2. Discuss and look at 5 drawings
3. Please get out your journal
–
Problem 2.1
1. Class discussion on Problem 2.1
2. Homework
–
Follow up 2.1

15. Problem 2.1
Lurking among the members of the Wump family
are some imposters who, at first glance, look like
the Wumps but are actually quite different. In your
journal:
 Describe
Mug’s shape.
 Compare
the other four characters to Mug. Who are
the imposters?
 What
things are the same about Mug and Zug? Mug
and Lug? Mug and Bug? Mug and Thug? What things
are different? Think about the general shape, the
lengths of sides, and the angles of each figure.

16. Follow up 2.1
1. In Mathematics, we say that figures like
Mug and Zug (but not Mug and Lug) are
similar. What do you think it means for
two figures to be mathematically similar?
2. The members of the wump family are all
similar. How do their corresponding
sides compare? How do their
corresponding angles compare?

17. Quarter 2: Week 2
Warm-up Wednesday
Use the rectangle to answer the questions.
1. Give the length and width of a
rectangle that is an enlargement
of the given rectangle.
2. Give the length and width of a
rectangle that is not an
enlargement of the given
rectangle.
3. Write the formula for area of a
rectangle.
3
4

18. Welcome to Pre-Algebra!
Today is Thursday.
1. Please have your homework (follow up
2.1) on your desk and get started on your
warm up.
2. Discuss Follow up 2.1
3. Please get out your spiral notebooks
Intro 2.2
Nosing Around

19. Follow up 2.1
1. In Mathematics, we say that figures like
Mug and Zug (but not Mug and Lug) are
similar. What do you think it means for
two figures to be mathematically similar?
2. The members of the wump family are all
similar. How do their corresponding
sides compare? How do their
corresponding angles compare?

20. All the members of the Wump family have the
same angle measures. Is having the same angle
measure enough to make two figures similar?
 All rectangles have four right angles.

◦ Are all rectangles similar?
◦ What about these two rectangles?

21. 
In this problem, you will investigate rectangles
more closely to try to figure out what else is
necessary for two rectangles to be similar.

You will compare side lengths, angle measures,
and perimeters.

22. How does Zug’s nose compare with Mug’s nose?
How many of Mug’s noses can you put in Zug’s nose?

23. 
One way to compare
two quantities is to
form a ratio. For
example, Mug Wump’s
nose is 1 unit wide and
2 units long. To
compare the width to
the length, we can use
the ratio 1 to 2, which
can also be written as
the fraction
1
2
1
2

25. Warm-up: Thursday
Quarter 2: Week 2
• Draw any rectangle that is not a square. Then
draw a rectangle with side lengths that are
twice the side lengths of the original
rectangle.
1.How many copies of the smaller rectangle will
fit inside the larger rectangle?
2.Will you get the same answer for part a no
matter what side lengths you choose for the
original rectangle?

26. Welcome to Pre-Algebra!
Today is Friday
1. Please get started on your warm
up.
2. Discuss Problem 2.2
3. Work on follow up 2.2

27. Welcome to Pre Algebra Honors!
Today is Friday
1. Please have your Follow up 2.2
and weekly assignment sheet
on your desk to be checked.
2. Discuss follow up 2.2 with a
red pen
3. Turn in Packets
4. Graphing Sheet